Design Of Adjustable Amplitude Chaotic Oscillator Based On Memory Element And Its Simplified Circuit Implementatio

With the development of nonlinear dynamics theory and integrated circuit technology,the design of controllable chaotic signal sources and their application research in fields such as confidential communication,neural networks,and chemical electrolysis have also been further deepened.The nonlinear characteristics and special electromagnetic constraint relationships of memory element provide new possibilities for the control of high complexity chaotic and hyperchaotic signals,as well as the simplification of oscillator structures.This article focuses the chaotic oscillator based on the memory element,observes the dynamic behavior of system model,and simplifies the circuit structure to achieve amplitude control of the chaotic oscillator based on the memory element.The main work of this article includes the following:Based on the principle of amplitude control and the memristor model design,an amplitude controllable double memristive hyperchaotic oscillator was constructed.By setting and selecting the internal parameters of the memristor,a hyperchaotic system containing double memristors was constructed,and the amplitude control of hyperchaotic signals was realized.Bifurcation diagram and Lyapunov exponents analysis revealed the evolution law of the hyperchaotic oscillator,and on this basis,further analysis of the multistability was conducted and a corresponding hyperchaotic oscillation circuit was designed.A simplified circuit construction method for meminductive chaotic oscillator is proposed based on the characteristic of the electromagnetic constraint relationship of the meminductor.The hidden meminductive electromagnetic constraint model in the Jerk system is extracted through a simplified circuit equation parallel to the meminductor,resistor,and capacitor.The internal parameters of the meminductor can realize offset boosting and amplitude control of chaotic oscillation.By introducing a new feedback function based on offset boosting,coexisting attractors and amplitude control are achieved,and a simplified hardware circuit is designed.A simplified circuit and current amplification module were designed for a memristive Lorenz chaotic oscillator,enabling the output of large chaotic currents.Taking advantage of the current output characteristics of the multiplier,and combining the voltage-current distribution relationship of resistors and capacitors in Lorenz system,a novel chaotic system containing a memristive model was constructed based on inherent feedback constraint.The simplified circuit of the memristive Lorenz chaotic oscillator was designed,and a chaotic current source was built by coupling a current amplification module.